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ES_Problems

# ES_Problems - Note this problem is solved in Jackson(page...

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(1) Calculate the Green function for a problem defined in the region z greater or equal than zero and y greater or equal than zero with Dirichlet boundary conditions on the planes z=0 and y=0.

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(2) Using Green functions find the electrostatic potential Phi( x ) outside a ground sphere of radius R in a uniform electric field E_0 along the z axis.

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Using the technique of separation of variables find the Green function for problem 15 in Ch.2 Jackson. You have to obtain the expression given in part b) of the problem.

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(3) Using the technique of separation of variables obtain the potential inside a grounded hollow sphere of radius b with a concentric ring of dius a (a<b) and total charge Q radius a (a<b) and total charge Q.

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Unformatted text preview: Note: this problem is solved in Jackson (page 123; Fig.3.11) using the Green function. Solve it using separation of variables just as we did in class for the case of a charged ring in empty space. (4) (5) (6) (6) (7) (8) (9) (10) (11) (12) (13) (14) (15) (16) (17) (18) (19) (21) (22) (23) (24) (25) (26) (27) (28) (29) (30) (31) (32) (33) (34) (35) (36) (37) (38) (39) (40) (41) (42) (43) (44) (45) Solution: (46) (47) Solution: (48) Solution: (49) Solution: (50) lution: Solution: (51) Solution: (52) Solution: (53) Solution: (54) Solution: (55) Solution: (56) Solution: (57) Solution: (58) Solution: (59) Solution: (60) Solution: (61) Solution: (62) Solution:...
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ES_Problems - Note this problem is solved in Jackson(page...

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